220100868 has 144 divisors (see below), whose sum is σ = 639475200. Its totient is φ = 65370240.

The previous prime is 220100849. The next prime is 220100879. The reversal of 220100868 is 868001022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 565618 + ... + 566006.

It is an arithmetic number, because the mean of its divisors is an integer number (4440800).

Almost surely, 2^220100868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220100868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319737600).

220100868 is an abundant number, since it is smaller than the sum of its proper divisors (419374332).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220100868 is a wasteful number, since it uses less digits than its factorization.

220100868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 220100868 is about 14835.7968441200. The cubic root of 220100868 is about 603.7733203445.

The spelling of 220100868 in words is "two hundred twenty million, one hundred thousand, eight hundred sixty-eight".